259452010100 has 36 divisors (see below), whose sum is σ = 564117084300. Its totient is φ = 103576892160.

The previous prime is 259452010079. The next prime is 259452010109. The reversal of 259452010100 is 1010254952.

It can be written as a sum of positive squares in 6 ways, for example, as 1918089616 + 257533920484 = 43796^2 + 507478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259452010109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2497745 + ... + 2599544.

Almost surely, 2^259452010100 is an apocalyptic number.

259452010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259452010100 is an abundant number, since it is smaller than the sum of its proper divisors (304665074200).

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

259452010100 is a wasteful number, since it uses less digits than its factorization.

259452010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097812 (or 5097805 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 259452010100 in words is "two hundred fifty-nine billion, four hundred fifty-two million, ten thousand, one hundred".