1315719825 has 72 divisors (see below), whose sum is σ = 2612332800. Its totient is φ = 582019200.

The previous prime is 1315719767. The next prime is 1315719877. The reversal of 1315719825 is 5289175131.

It is not a de Polignac number, because 1315719825 - 2⁹ = 1315719313 is a prime.

It is a super-2 number, since 2×1315719825² = 3462237315796061250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108151 + ... + 119699.

It is an arithmetic number, because the mean of its divisors is an integer number (36282400).

Almost surely, 2^1315719825 is an apocalyptic number.

1315719825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1315719825 is a deficient number, since it is larger than the sum of its proper divisors (1296612975).

1315719825 is a wasteful number, since it uses less digits than its factorization.

1315719825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11607 (or 11595 counting only the distinct ones).

The product of its digits is 75600, while the sum is 42.

The square root of 1315719825 is about 36272.8524519371. The cubic root of 1315719825 is about 1095.7743735316.

The spelling of 1315719825 in words is "one billion, three hundred fifteen million, seven hundred nineteen thousand, eight hundred twenty-five".