1457778513 has 16 divisors (see below), whose sum is σ = 1951488000. Its totient is φ = 967970640.

The previous prime is 1457778499. The next prime is 1457778557. The reversal of 1457778513 is 3158777541.

It is not a de Polignac number, because 1457778513 - 2¹⁷ = 1457647441 is a prime.

It is a super-4 number, since 4×1457778513⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1457778013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183608 + ... + 1184838.

It is an arithmetic number, because the mean of its divisors is an integer number (121968000).

Almost surely, 2^1457778513 is an apocalyptic number.

It is an amenable number.

1457778513 is a deficient number, since it is larger than the sum of its proper divisors (493709487).

1457778513 is a wasteful number, since it uses less digits than its factorization.

1457778513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492.

The product of its digits is 823200, while the sum is 48.

The square root of 1457778513 is about 38180.8657968884. The cubic root of 1457778513 is about 1133.8715230401.

It can be divided in two parts, 145777 and 8513, that added together give a triangular number (154290 = T₅₅₅).

The spelling of 1457778513 in words is "one billion, four hundred fifty-seven million, seven hundred seventy-eight thousand, five hundred thirteen".