51635264063100 has 144 divisors (see below), whose sum is σ = 158195360348928. Its totient is φ = 12958684277760.

The previous prime is 51635264063099. The next prime is 51635264063101. The reversal of 51635264063100 is 136046253615.

It is an interprime number because it is at equal distance from previous prime (51635264063099) and next prime (51635264063101).

It is a super-2 number, since 2×51635264063100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51635264063101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90019809 + ... + 90591591.

It is an arithmetic number, because the mean of its divisors is an integer number (1098578891312).

Almost surely, 2^{51635264063100} is an apocalyptic number.

51635264063100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51635264063100 is an abundant number, since it is smaller than the sum of its proper divisors (106560096285828).

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

51635264063100 is a wasteful number, since it uses less digits than its factorization.

51635264063100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589524 (or 589517 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 51635264063100 in words is "fifty-one trillion, six hundred thirty-five billion, two hundred sixty-four million, sixty-three thousand, one hundred".