1258774109461 has 16 divisors (see below), whose sum is σ = 1508329290240. Its totient is φ = 1036976379120.

The previous prime is 1258774109431. The next prime is 1258774109497. The reversal of 1258774109461 is 1649014778521.

It is not a de Polignac number, because 1258774109461 - 2³⁵ = 1224414371093 is a prime.

It is a super-3 number, since 3×1258774109461³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258774109431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130926555 + ... + 130936168.

It is an arithmetic number, because the mean of its divisors is an integer number (94270580640).

Almost surely, 2^{1258774109461} is an apocalyptic number.

1258774109461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1258774109461 is a deficient number, since it is larger than the sum of its proper divisors (249555180779).

1258774109461 is a wasteful number, since it uses less digits than its factorization.

1258774109461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261862776.

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 1258774109461 in words is "one trillion, two hundred fifty-eight billion, seven hundred seventy-four million, one hundred nine thousand, four hundred sixty-one".