1258346540451 has 128 divisors (see below), whose sum is σ = 2271648153600. Its totient is φ = 598339560960.

The previous prime is 1258346540413. The next prime is 1258346540467. The reversal of 1258346540451 is 1540456438521.

It is not a de Polignac number, because 1258346540451 - 2⁷ = 1258346540323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1258346540451.

It is not an unprimeable number, because it can be changed into a prime (1258346540051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533875165 + ... + 533877521.

It is an arithmetic number, because the mean of its divisors is an integer number (17747251200).

Almost surely, 2^{1258346540451} is an apocalyptic number.

1258346540451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1258346540451 is a deficient number, since it is larger than the sum of its proper divisors (1013301613149).

1258346540451 is a wasteful number, since it uses less digits than its factorization.

1258346540451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809.

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 1258346540451 in words is "one trillion, two hundred fifty-eight billion, three hundred forty-six million, five hundred forty thousand, four hundred fifty-one".