253400511 has 64 divisors (see below), whose sum is σ = 447104000. Its totient is φ = 126499968.

The previous prime is 253400489. The next prime is 253400519. The reversal of 253400511 is 115004352.

It is not a de Polignac number, because 253400511 - 2¹³ = 253392319 is a prime.

It is a super-2 number, since 2×253400511² = 128423637950122242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253400519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253665 + ... + 254661.

It is an arithmetic number, because the mean of its divisors is an integer number (6986000).

Almost surely, 2^253400511 is an apocalyptic number.

253400511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

253400511 is a deficient number, since it is larger than the sum of its proper divisors (193703489).

253400511 is a wasteful number, since it uses less digits than its factorization.

253400511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 253400511 is about 15918.5586973193. The cubic root of 253400511 is about 632.8039219090.

Adding to 253400511 its reverse (115004352), we get a palindrome (368404863).

The spelling of 253400511 in words is "two hundred fifty-three million, four hundred thousand, five hundred eleven".