1577628829413 has 24 divisors (see below), whose sum is σ = 2804673475968. Its totient is φ = 832155865632.

The previous prime is 1577628829367. The next prime is 1577628829421. The reversal of 1577628829413 is 3149288267751.

1577628829413 is a `hidden beast` number, since 1 + 57 + 7 + 6 + 288 + 294 + 13 = 666.

It is not a de Polignac number, because 1577628829413 - 2⁹ = 1577628828901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1577628829213) 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 23 ways as a sum of consecutive naturals, for example, 963142545 + ... + 963144182.

It is an arithmetic number, because the mean of its divisors is an integer number (116861394832).

Almost surely, 2^{1577628829413} is an apocalyptic number.

1577628829413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1577628829413 is a deficient number, since it is larger than the sum of its proper divisors (1227044646555).

1577628829413 is a wasteful number, since it uses less digits than its factorization.

1577628829413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926286753 (or 1926286750 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 1577628829413 in words is "one trillion, five hundred seventy-seven billion, six hundred twenty-eight million, eight hundred twenty-nine thousand, four hundred thirteen".