1258353216 has 42 divisors (see below), whose sum is σ = 3606843942. Its totient is φ = 419450880.

The previous prime is 1258353157. The next prime is 1258353221. The reversal of 1258353216 is 6123538521.

1258353216 is a `hidden beast` number, since 1 + 2 + 583 + 53 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1236225600 + 22127616 = 35160^2 + 4704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1091745 + ... + 1092896.

Almost surely, 2^1258353216 is an apocalyptic number.

1258353216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1258353216 is an abundant number, since it is smaller than the sum of its proper divisors (2348490726).

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

1258353216 is a wasteful number, since it uses less digits than its factorization.

1258353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184659 (or 2184646 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1258353216 is about 35473.2746726321. The cubic root of 1258353216 is about 1079.6115475417.

The spelling of 1258353216 in words is "one billion, two hundred fifty-eight million, three hundred fifty-three thousand, two hundred sixteen".