5101525100 has 72 divisors (see below), whose sum is σ = 12729685248. Its totient is φ = 1738324800.

The previous prime is 5101525073. The next prime is 5101525127. The reversal of 5101525100 is 15251015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5101525073) and next prime (5101525127).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91745 + ... + 136455.

It is an arithmetic number, because the mean of its divisors is an integer number (176801184).

Almost surely, 2^5101525100 is an apocalyptic number.

5101525100 is a gapful number since it is divisible by the number (50) 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 5101525100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364842624).

5101525100 is an abundant number, since it is smaller than the sum of its proper divisors (7628160148).

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

5101525100 is a wasteful number, since it uses less digits than its factorization.

5101525100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44895 (or 44888 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 5101525100 is about 71424.9613230557. The cubic root of 5101525100 is about 1721.4721824221.

Adding to 5101525100 its reverse (15251015), we get a palindrome (5116776115).

The spelling of 5101525100 in words is "five billion, one hundred one million, five hundred twenty-five thousand, one hundred".