505976625 has 240 divisors, whose sum is σ = 1205043840. Its totient is φ = 206712000.

The previous prime is 505976621. The next prime is 505976663. The reversal of 505976625 is 526679505.

505976625 is a `hidden beast` number, since 50 + 597 + 6 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 505976625 - 2² = 505976621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (505976621) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8575846 + ... + 8575904.

It is an arithmetic number, because the mean of its divisors is an integer number (5021016).

Almost surely, 2^505976625 is an apocalyptic number.

505976625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505976625 is an abundant number, since it is smaller than the sum of its proper divisors (699067215).

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

505976625 is a wasteful number, since it uses less digits than its factorization.

505976625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 505976625 is about 22493.9241796535. The cubic root of 505976625 is about 796.8504421498.

The spelling of 505976625 in words is "five hundred five million, nine hundred seventy-six thousand, six hundred twenty-five".