261037825105000 has 80 divisors (see below), whose sum is σ = 611630577017460. Its totient is φ = 104411894400000.

The previous prime is 261037825104983. The next prime is 261037825105039. The reversal of 261037825105000 is 501528730162.

It can be written as a sum of positive squares in 10 ways, for example, as 28493197761604 + 232544627343396 = 5337902^2 + 15249414^2 .

It is a super-2 number, since 2×261037825105000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163912560 + ... + 165497440.

Almost surely, 2^{261037825105000} is an apocalyptic number.

261037825105000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261037825105000 is an abundant number, since it is smaller than the sum of its proper divisors (350592751912460).

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

261037825105000 is a wasteful number, since it uses less digits than its factorization.

261037825105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617848 (or 1617829 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 261037825105000 in words is "two hundred sixty-one trillion, thirty-seven billion, eight hundred twenty-five million, one hundred five thousand".