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1053210401 = 17255724229
BaseRepresentation
bin111110110001101…
…011011100100001
32201101210122001122
4332301223130201
54124110213101
6252301542025
735046066155
oct7661533441
92641718048
101053210401
114a0567621
12254874915
1313a27a929
149dc3d065
15626e251b
hex3ec6b721

1053210401 has 8 divisors (see below), whose sum is σ = 1115646120. Its totient is φ = 990828288.

The previous prime is 1053210373. The next prime is 1053210407. The reversal of 1053210401 is 1040123501.

It can be written as a sum of positive squares in 4 ways, for example, as 81018001 + 972192400 = 9001^2 + 31180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1053210401 is a prime.

It is a super-3 number, since 3×10532104013 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1053210401.

It is not an unprimeable number, because it can be changed into a prime (1053210407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31355 + ... + 55583.

It is an arithmetic number, because the mean of its divisors is an integer number (139455765).

Almost surely, 21053210401 is an apocalyptic number.

It is an amenable number.

1053210401 is a deficient number, since it is larger than the sum of its proper divisors (62435719).

1053210401 is a wasteful number, since it uses less digits than its factorization.

1053210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26803.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1053210401 is about 32453.2032471373. The cubic root of 1053210401 is about 1017.4311885321.

Adding to 1053210401 its reverse (1040123501), we get a palindrome (2093333902).

The spelling of 1053210401 in words is "one billion, fifty-three million, two hundred ten thousand, four hundred one".

Divisors: 1 17 2557 24229 43469 411893 61953553 1053210401