259442152100 has 36 divisors (see below), whose sum is σ = 563375660400. Its totient is φ = 103705673760.

The previous prime is 259442152069. The next prime is 259442152121. The reversal of 259442152100 is 1251244952.

It is a super-3 number, since 3×259442152100³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743210 + ... + 1035009.

It is an arithmetic number, because the mean of its divisors is an integer number (15649323900).

Almost surely, 2^259442152100 is an apocalyptic number.

259442152100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259442152100 is an abundant number, since it is smaller than the sum of its proper divisors (303933508300).

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

259442152100 is a wasteful number, since it uses less digits than its factorization.

259442152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779692 (or 1779685 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 259442152100 in words is "two hundred fifty-nine billion, four hundred forty-two million, one hundred fifty-two thousand, one hundred".