253506465 has 72 divisors (see below), whose sum is σ = 473843448. Its totient is φ = 125337600.

The previous prime is 253506427. The next prime is 253506481. The reversal of 253506465 is 564605352.

It is a happy number.

253506465 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 0 + 646 + 5 = 666.

253506465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 28224 + 253478241 = 168^2 + 15921^2 .

It is not a de Polignac number, because 253506465 - 2⁹ = 253505953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1313409 + ... + 1313601.

It is an arithmetic number, because the mean of its divisors is an integer number (6581159).

Almost surely, 2^253506465 is an apocalyptic number.

It is an amenable number.

253506465 is a deficient number, since it is larger than the sum of its proper divisors (220336983).

253506465 is a wasteful number, since it uses less digits than its factorization.

253506465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 253506465 is about 15921.8863518115. The cubic root of 253506465 is about 632.8921074244.

The spelling of 253506465 in words is "two hundred fifty-three million, five hundred six thousand, four hundred sixty-five".