1528416513 has 16 divisors (see below), whose sum is σ = 2438499840. Its totient is φ = 940563792.

The previous prime is 1528416499. The next prime is 1528416557. The reversal of 1528416513 is 3156148251.

1528416513 is a `hidden beast` number, since 1 + 52 + 84 + 16 + 513 = 666.

It is not a de Polignac number, because 1528416513 - 2⁴ = 1528416497 is a prime.

It is a super-2 number, since 2×1528416513² = 4672114074422158338, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1528416013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2176881 + ... + 2177582.

It is an arithmetic number, because the mean of its divisors is an integer number (152406240).

Almost surely, 2^1528416513 is an apocalyptic number.

1528416513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1528416513 is a deficient number, since it is larger than the sum of its proper divisors (910083327).

1528416513 is a wasteful number, since it uses less digits than its factorization.

1528416513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354485 (or 4354479 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1528416513 is about 39094.9678731164. The cubic root of 1528416513 is about 1151.8976892103.

The spelling of 1528416513 in words is "one billion, five hundred twenty-eight million, four hundred sixteen thousand, five hundred thirteen".