1253405958 has 16 divisors (see below), whose sum is σ = 2864928000. Its totient is φ = 358115976.

The previous prime is 1253405947. The next prime is 1253405963. The reversal of 1253405958 is 8595043521.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 29842999 = 1253405958 / (1 + 2 + 5 + 3 + 4 + 0 + 5 + 9 + 5 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14921458 + ... + 14921541.

It is an arithmetic number, because the mean of its divisors is an integer number (179058000).

Almost surely, 2^1253405958 is an apocalyptic number.

1253405958 is an abundant number, since it is smaller than the sum of its proper divisors (1611522042).

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

1253405958 is a wasteful number, since it uses less digits than its factorization.

1253405958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29843011.

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 1253405958 is about 35403.4738126077. The cubic root of 1253405958 is about 1078.1948462743.

The spelling of 1253405958 in words is "one billion, two hundred fifty-three million, four hundred five thousand, nine hundred fifty-eight".