1071464625 has 384 divisors, whose sum is σ = 2731622400. Its totient is φ = 408240000.

The previous prime is 1071464623. The next prime is 1071464629. The reversal of 1071464625 is 5264641701.

1071464625 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 4 + 646 + 2 + 5 = 666.

It is not a de Polignac number, because 1071464625 - 2¹ = 1071464623 is a prime.

It is a super-2 number, since 2×1071464625² = 2296072885252781250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1071464625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071464623) 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 383 ways as a sum of consecutive naturals, for example, 34563360 + ... + 34563390.

It is an arithmetic number, because the mean of its divisors is an integer number (7113600).

Almost surely, 2^1071464625 is an apocalyptic number.

1071464625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1071464625 is an abundant number, since it is smaller than the sum of its proper divisors (1660157775).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1071464625 is a wasteful number, since it uses less digits than its factorization.

1071464625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1071464625 is about 32733.2342581664. The cubic root of 1071464625 is about 1023.2755855775.

The spelling of 1071464625 in words is "one billion, seventy-one million, four hundred sixty-four thousand, six hundred twenty-five".