5135262624 has 336 divisors, whose sum is σ = 16777357632. Its totient is φ = 1538279424.

The previous prime is 5135262619. The next prime is 5135262661. The reversal of 5135262624 is 4262625315.

5135262624 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 2 + 626 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9120967 + ... + 9121529.

It is an arithmetic number, because the mean of its divisors is an integer number (49932612).

Almost surely, 2^5135262624 is an apocalyptic number.

5135262624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135262624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388678816).

5135262624 is an abundant number, since it is smaller than the sum of its proper divisors (11642095008).

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

5135262624 is a wasteful number, since it uses less digits than its factorization.

5135262624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 608 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5135262624 is about 71660.7467446440. The cubic root of 5135262624 is about 1725.2586742518.

Adding to 5135262624 its reverse (4262625315), we get a palindrome (9397887939).

The spelling of 5135262624 in words is "five billion, one hundred thirty-five million, two hundred sixty-two thousand, six hundred twenty-four".