1254564540 has 36 divisors (see below), whose sum is σ = 3805512984. Its totient is φ = 334550496.

The previous prime is 1254564539. The next prime is 1254564541. The reversal of 1254564540 is 454654521.

1254564540 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 5 + 645 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1254564539) and next prime (1254564541).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1254564495 and 1254564504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254564541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3484722 + ... + 3485081.

It is an arithmetic number, because the mean of its divisors is an integer number (105708694).

Almost surely, 2^1254564540 is an apocalyptic number.

1254564540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1254564540 is an abundant number, since it is smaller than the sum of its proper divisors (2550948444).

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

1254564540 is a wasteful number, since it uses less digits than its factorization.

1254564540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969818 (or 6969813 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 1254564540 is about 35419.8325800673. The cubic root of 1254564540 is about 1078.5269526814.

The spelling of 1254564540 in words is "one billion, two hundred fifty-four million, five hundred sixty-four thousand, five hundred forty".