51501655165002 has 128 divisors (see below), whose sum is σ = 120629101824000. Its totient is φ = 14351877340416.

The previous prime is 51501655164983. The next prime is 51501655165021. The reversal of 51501655165002 is 20056155610515.

51501655165002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51501655164983) and next prime (51501655165021).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 6822311124 + ... + 6822318672.

It is an arithmetic number, because the mean of its divisors is an integer number (942414858000).

Almost surely, 2^{51501655165002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51501655165002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60314550912000).

51501655165002 is an abundant number, since it is smaller than the sum of its proper divisors (69127446658998).

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

51501655165002 is a wasteful number, since it uses less digits than its factorization.

51501655165002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12540.

The product of its (nonzero) digits is 225000, while the sum is 42.

The spelling of 51501655165002 in words is "fifty-one trillion, five hundred one billion, six hundred fifty-five million, one hundred sixty-five thousand, two".