51262662135256 has 256 divisors, whose sum is σ = 125579559168000. Its totient is φ = 19255510149120.

The previous prime is 51262662135143. The next prime is 51262662135287. The reversal of 51262662135256 is 65253126626215.

51262662135256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×51262662135256³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28761010 + ... + 30491326.

It is an arithmetic number, because the mean of its divisors is an integer number (490545153000).

Almost surely, 2^{51262662135256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51262662135256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62789779584000).

51262662135256 is an abundant number, since it is smaller than the sum of its proper divisors (74316897032744).

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

51262662135256 is a wasteful number, since it uses less digits than its factorization.

51262662135256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730442 (or 1730438 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 52.

The spelling of 51262662135256 in words is "fifty-one trillion, two hundred sixty-two billion, six hundred sixty-two million, one hundred thirty-five thousand, two hundred fifty-six".