1742172120253 has 16 divisors (see below), whose sum is σ = 1906632584640. Its totient is φ = 1586190038400.

The previous prime is 1742172120233. The next prime is 1742172120257. The reversal of 1742172120253 is 3520212712471.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1742172120253 is a prime.

It is a super-3 number, since 3×1742172120253³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742172120257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16637518 + ... + 16741903.

It is an arithmetic number, because the mean of its divisors is an integer number (119164536540).

Almost surely, 2^{1742172120253} is an apocalyptic number.

It is an amenable number.

1742172120253 is a deficient number, since it is larger than the sum of its proper divisors (164460464387).

1742172120253 is a wasteful number, since it uses less digits than its factorization.

1742172120253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33379548.

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 1742172120253 in words is "one trillion, seven hundred forty-two billion, one hundred seventy-two million, one hundred twenty thousand, two hundred fifty-three".