53010100 has 108 divisors (see below), whose sum is σ = 136570252. Its totient is φ = 17740800.

The previous prime is 53010071. The next prime is 53010103. The reversal of 53010100 is 101035.

It can be written as a sum of positive squares in 6 ways, for example, as 10316944 + 42693156 = 3212^2 + 6534^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53010103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157132 + ... + 157468.

Almost surely, 2^53010100 is an apocalyptic number.

53010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68285126).

53010100 is an abundant number, since it is smaller than the sum of its proper divisors (83560152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53010100 is a wasteful number, since it uses less digits than its factorization.

53010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 53010100 is about 7280.8035270841. The cubic root of 53010100 is about 375.6524345897.

Adding to 53010100 its reverse (101035), we get a palindrome (53111135).

The spelling of 53010100 in words is "fifty-three million, ten thousand, one hundred".