5076132100 has 144 divisors (see below), whose sum is σ = 12261465216. Its totient is φ = 1812096000.

The previous prime is 5076132067. The next prime is 5076132133. The reversal of 5076132100 is 12316705.

It is an interprime number because it is at equal distance from previous prime (5076132067) and next prime (5076132133).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6981937 + ... + 6982663.

It is an arithmetic number, because the mean of its divisors is an integer number (85149064).

Almost surely, 2^5076132100 is an apocalyptic number.

5076132100 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 5076132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130732608).

5076132100 is an abundant number, since it is smaller than the sum of its proper divisors (7185333116).

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

5076132100 is a wasteful number, since it uses less digits than its factorization.

5076132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5076132100 is about 71246.9795851024. The cubic root of 5076132100 is about 1718.6112031610.

Adding to 5076132100 its reverse (12316705), we get a palindrome (5088448805).

The spelling of 5076132100 in words is "five billion, seventy-six million, one hundred thirty-two thousand, one hundred".