5137007040 has 560 divisors, whose sum is σ = 20446715520. Its totient is φ = 1213470720.

The previous prime is 5137007027. The next prime is 5137007063. The reversal of 5137007040 is 407007315.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5137006995 and 5137007013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12259951 + ... + 12260369.

It is an arithmetic number, because the mean of its divisors is an integer number (36511992).

Almost surely, 2^5137007040 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 5137007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223357760).

5137007040 is an abundant number, since it is smaller than the sum of its proper divisors (15309708480).

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

5137007040 is a wasteful number, since it uses less digits than its factorization.

5137007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5137007040 is about 71672.9170607699. The cubic root of 5137007040 is about 1725.4540052629.

The spelling of 5137007040 in words is "five billion, one hundred thirty-seven million, seven thousand, forty".