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1057313153 = 13251324031
BaseRepresentation
bin111111000001010…
…101000110000001
32201200112001222102
4333001111012001
54131133010103
6252525520145
735126004431
oct7701250601
92650461872
101057313153
114a290a026
12256113055
1313b0861b0
14a05ca2c1
1562c52e88
hex3f055181

1057313153 has 8 divisors (see below), whose sum is σ = 1143184896. Its totient is φ = 972090000.

The previous prime is 1057313143. The next prime is 1057313167. The reversal of 1057313153 is 3513137501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 1057313153 - 28 = 1057312897 is a prime.

It is a super-2 number, since 2×10573131532 = 2235822207013602818, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1057313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158753 + ... + 165278.

It is an arithmetic number, because the mean of its divisors is an integer number (142898112).

Almost surely, 21057313153 is an apocalyptic number.

1057313153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1057313153 is a deficient number, since it is larger than the sum of its proper divisors (85871743).

1057313153 is a wasteful number, since it uses less digits than its factorization.

1057313153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324295.

The product of its (nonzero) digits is 4725, while the sum is 29.

The square root of 1057313153 is about 32516.3520862965. The cubic root of 1057313153 is about 1018.7506017887.

The spelling of 1057313153 in words is "one billion, fifty-seven million, three hundred thirteen thousand, one hundred fifty-three".

Divisors: 1 13 251 3263 324031 4212403 81331781 1057313153