1453686825 has 48 divisors (see below), whose sum is σ = 2519838720. Its totient is φ = 738070080.

The previous prime is 1453686823. The next prime is 1453686901. The reversal of 1453686825 is 5286863541.

It is a happy number.

It is not a de Polignac number, because 1453686825 - 2¹ = 1453686823 is a prime.

It is a super-2 number, since 2×1453686825² = 4226410770357161250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1453686823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382786 + ... + 386564.

It is an arithmetic number, because the mean of its divisors is an integer number (52496640).

Almost surely, 2^1453686825 is an apocalyptic number.

1453686825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1453686825 is a deficient number, since it is larger than the sum of its proper divisors (1066151895).

1453686825 is a wasteful number, since it uses less digits than its factorization.

1453686825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4033 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 1453686825 is about 38127.2451797924. The cubic root of 1453686825 is about 1132.8096799898.

It can be divided in two parts, 145 and 3686825, that added together give a triangular number (3686970 = T₂₇₁₅).

The spelling of 1453686825 in words is "one billion, four hundred fifty-three million, six hundred eighty-six thousand, eight hundred twenty-five".