254536506 has 80 divisors (see below), whose sum is σ = 655769664. Its totient is φ = 72285696.

The previous prime is 254536501. The next prime is 254536507. The reversal of 254536506 is 605635452.

It is a happy number.

254536506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254536501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218281 + ... + 219443.

Almost surely, 2^254536506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254536506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327884832).

254536506 is an abundant number, since it is smaller than the sum of its proper divisors (401233158).

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

254536506 is a wasteful number, since it uses less digits than its factorization.

254536506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1368 counting only the distinct ones).

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

The square root of 254536506 is about 15954.2002620000. The cubic root of 254536506 is about 633.7481327630.

The spelling of 254536506 in words is "two hundred fifty-four million, five hundred thirty-six thousand, five hundred six".