1030135681935 has 64 divisors (see below), whose sum is σ = 1876448286720. Its totient is φ = 535883040000.

The previous prime is 1030135681933. The next prime is 1030135681951. The reversal of 1030135681935 is 5391865310301.

1030135681935 is a `hidden beast` number, since 1 + 0 + 30 + 13 + 568 + 19 + 35 = 666.

It is a Cunningham number, because it is equal to 1014956²-1.

It is not a de Polignac number, because 1030135681935 - 2¹ = 1030135681933 is a prime.

It is a super-2 number, since 2×1030135681935² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030135681933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27384990 + ... + 27422580.

It is an arithmetic number, because the mean of its divisors is an integer number (29319504480).

Almost surely, 2^{1030135681935} is an apocalyptic number.

1030135681935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1030135681935 is a deficient number, since it is larger than the sum of its proper divisors (846312604785).

1030135681935 is a wasteful number, since it uses less digits than its factorization.

1030135681935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42597 (or 42591 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1030135681935 in words is "one trillion, thirty billion, one hundred thirty-five million, six hundred eighty-one thousand, nine hundred thirty-five".