253367541 has 32 divisors (see below), whose sum is σ = 454222080. Its totient is φ = 136263168.

The previous prime is 253367539. The next prime is 253367561. The reversal of 253367541 is 145763352.

253367541 is a `hidden beast` number, since 2 + 53 + 3 + 67 + 541 = 666.

It is not a de Polignac number, because 253367541 - 2¹ = 253367539 is a prime.

It is a super-2 number, since 2×253367541² = 128390221664773362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253367496 and 253367505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253367561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36216 + ... + 42641.

It is an arithmetic number, because the mean of its divisors is an integer number (14194440).

Almost surely, 2^253367541 is an apocalyptic number.

253367541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253367541 is a deficient number, since it is larger than the sum of its proper divisors (200854539).

253367541 is a wasteful number, since it uses less digits than its factorization.

253367541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78890 (or 78884 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 253367541 is about 15917.5230799267. The cubic root of 253367541 is about 632.7764759630.

The spelling of 253367541 in words is "two hundred fifty-three million, three hundred sixty-seven thousand, five hundred forty-one".