361525612900 has 27 divisors (see below), whose sum is σ = 784523627769. Its totient is φ = 144607840080.

The previous prime is 361525612883. The next prime is 361525612901. The reversal of 361525612900 is 9216525163.

The square root of 361525612900 is 601270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 130149220644 + 231376392256 = 360762^2 + 481016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361525612901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5982637 + ... + 6042763.

Almost surely, 2^361525612900 is an apocalyptic number.

361525612900 is the 601270-th square number.

It is an amenable number.

361525612900 is an abundant number, since it is smaller than the sum of its proper divisors (422998014869).

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

361525612900 is an frugal number, since it uses more digits than its factorization.

361525612900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120268 (or 60134 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 361525612900 in words is "three hundred sixty-one billion, five hundred twenty-five million, six hundred twelve thousand, nine hundred".