5156100700 has 72 divisors (see below), whose sum is σ = 11304870192. Its totient is φ = 2041159680.

The previous prime is 5156100689. The next prime is 5156100713. The reversal of 5156100700 is 70016515.

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

It is a congruent number.

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, 4471324 + ... + 4472476.

It is an arithmetic number, because the mean of its divisors is an integer number (157012086).

Almost surely, 2^5156100700 is an apocalyptic number.

5156100700 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 5156100700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652435096).

5156100700 is an abundant number, since it is smaller than the sum of its proper divisors (6148769492).

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

5156100700 is a wasteful number, since it uses less digits than its factorization.

5156100700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 5156100700 is about 71805.9934824385. The cubic root of 5156100700 is about 1727.5891329792.

It can be divided in two parts, 5156 and 100700, that multiplied together give a triangular number (519209200 = T₃₂₂₂₄).

The spelling of 5156100700 in words is "five billion, one hundred fifty-six million, one hundred thousand, seven hundred".