35442078555625 has 45 divisors (see below), whose sum is σ = 51520698502977. Its totient is φ = 24302425182000.

The previous prime is 35442078555617. The next prime is 35442078555649. The reversal of 35442078555625 is 52655587024453.

The square root of 35442078555625 is 5953325.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2778658958761 + 32663419596864 = 1666931^2 + 5715192^2 .

It is not a de Polignac number, because 35442078555625 - 2³ = 35442078555617 is a prime.

It is a super-2 number, since 2×35442078555625² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1041814866 + ... + 1041848884.

Almost surely, 2^{35442078555625} is an apocalyptic number.

35442078555625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35442078555625 is the 5953325-th square number.

35442078555625 is the 2976663-rd centered octagonal number.

It is an amenable number.

35442078555625 is a deficient number, since it is larger than the sum of its proper divisors (16078619947352).

35442078555625 is an frugal number, since it uses more digits than its factorization.

35442078555625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68072 (or 34031 counting only the distinct ones).

The product of its (nonzero) digits is 201600000, while the sum is 61.

The spelling of 35442078555625 in words is "thirty-five trillion, four hundred forty-two billion, seventy-eight million, five hundred fifty-five thousand, six hundred twenty-five".