361950625 has 15 divisors (see below), whose sum is σ = 452888623. Its totient is φ = 289180000.

The previous prime is 361950607. The next prime is 361950643. The reversal of 361950625 is 526059163.

The square root of 361950625 is 19025.

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

It is an interprime number because it is at equal distance from previous prime (361950607) and next prime (361950643).

It can be written as a sum of positive squares in 7 ways, for example, as 342731169 + 19219456 = 18513^2 + 4384^2 .

It is not a de Polignac number, because 361950625 - 2¹¹ = 361948577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 475245 + ... + 476005.

Almost surely, 2^361950625 is an apocalyptic number.

361950625 is the 19025-th square number.

361950625 is the 9513-rd centered octagonal number.

It is an amenable number.

361950625 is a deficient number, since it is larger than the sum of its proper divisors (90937998).

361950625 is an frugal number, since it uses more digits than its factorization.

361950625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The cubic root of 361950625 is about 712.6611926259.

It can be divided in two parts, 361 and 950625, that multiplied together give a square (343175625 = 18525²).

The spelling of 361950625 in words is "three hundred sixty-one million, nine hundred fifty thousand, six hundred twenty-five".