5101092562632 has 384 divisors, whose sum is σ = 14825130624000. Its totient is φ = 1450314201600.

The previous prime is 5101092562627. The next prime is 5101092562637. The reversal of 5101092562632 is 2362652901015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5101092562627) and next prime (5101092562637).

It is a super-2 number, since 2×5101092562632² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5101092562637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5253441907 + ... + 5253442877.

It is an arithmetic number, because the mean of its divisors is an integer number (38607111000).

Almost surely, 2^{5101092562632} 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 5101092562632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412565312000).

5101092562632 is an abundant number, since it is smaller than the sum of its proper divisors (9724038061368).

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

5101092562632 is a wasteful number, since it uses less digits than its factorization.

5101092562632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 5101092562632 in words is "five trillion, one hundred one billion, ninety-two million, five hundred sixty-two thousand, six hundred thirty-two".